Did you read the entire article?
As I mentioned:
bleach is less effective in the presence of organic debris, so possibly the small amount of food residue in the bowl was enough to permit survival of the Salmonella sp. in some cases. This likely accounts for the finding that only scrubbing followed by soaking in bleach was effective at reducing the Salmonella sp. contamination.
And it does not say that it doesn't kill Salmonella, it says it was not a 100% kill - likely related to organic debris in the food bowls.
The Salmonella sp. in food bowls was not quantified in this study and the culture technique that was used would detect very low numbers of Salmonella bacteria. It is likely that most, if not all, of the cleaning techniques resulted in some reduction of Salmonella bacteria. The clinical relevance of Salmonella spp. contamination of food bowls, at any level, in terms of animal and human health is unclear, and it is possible that reduction in numbers, not complete elimination, is the most important factor in most households.
It then sums up by saying that:
Soaking in a 10% bleach solution following removal of residue is reasonably effective; however, soaking in other disinfectants or hot water could also be effective.